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2 years ago

15 points!!

Mathematics

2 answers:

Katarina [22]2 years ago

8 0

Answer:

C. 394.2 ft²

Explanation:

surface area of triangular prism: (a+ b + c) × length + base × height

Here given:

a = 9 ft

b = 9 ft

c = 9 ft

base = 9 ft

length = 12 ft

height = 7.8 ft

Applying the formula:

(9+ 9 + 9) × 12 + 9 × 7.8

394.2 ft²

saveliy_v [14]2 years ago

6 0

Answer:

Step-by-step explanation:

9x7.8x1/2x12

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Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).

Stells [14]

9514 1404 393

Answer:

(g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

f(9) = -(9) +11 = 2

Then ...

(g·f)(9) = g(9)·f(9) = 248·2

(g·f)(9) = 496

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3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

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4 years ago

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n200080 [17]

16/11
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Taylor placed 8 photos on the last page of her scrapbook.

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